Question about the central limiting theorem A gym teacher has been studying muscle fatigue using a particular measure after students have exercised for one hour. They found the distribution of muscle fatigue measurements to be normally distributed with a mean of 14.3 and a standard deviation of 3.6. (a) If Layla's muscle fatigue was measured to be 13, what percentage of students are showing less muscle fatigue compared to Layla?______%. (b) Charles was told that his muscle fatigue corresponds to the 95th percentile of the population (in other words, 95% of students have shown less muscle fatigue). Find the muscle fatigue measurement of Charles.________ (c) If we consider a random sample of 20 students, find the probability that we will find an average muscle fatigue measurement above 16.7._______
Question about the central limiting theorem
A gym teacher has been studying muscle fatigue using a particular measure after students have exercised for one hour. They found the distribution of muscle fatigue measurements to be
(a) If Layla's muscle fatigue was measured to be 13, what percentage of students are showing less muscle fatigue compared to Layla?______%.
(b) Charles was told that his muscle fatigue corresponds to the 95th percentile of the population (in other words, 95% of students have shown less muscle fatigue). Find the muscle fatigue measurement of Charles.________
(c) If we consider a random sample of 20 students, find the probability that we will find an average muscle fatigue measurement above 16.7._______
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